Here's one problem that many techs overlook.  Quite often Honda designed
coolant passages into the intake manifold to keep it warm.  Sometimes these
develop a pin hole leak into the intake runner such that it draws antifreeze
into the combustion chamber.  This symptom is difficult to diagnose as it
tends to mimic a failing head gasket or head, i.e., there's abundant white
acrid smoke in the exhaust but there's no coolant in the oil.  Sometimes the
leak into the intake runner is worse depending on engine temperature.  In
any case, you'll want to carefully check all of the intake runners to make
sure that you don't see any white streaks of dried antifreeze running
towards the cylinders.  If you do find this indicator, then you'll need to
replace that part of the intake manifold.

Eric